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Structure Analysis of Polynomial Modules with Pommaret Bases
Author(s) -
Seiler Werner M.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310207
Subject(s) - hilbert's syzygy theorem , mathematics , dimension (graph theory) , pure mathematics , polynomial , algebra over a field , computer science , mathematical analysis
We show how Pommaret bases of submodules of free polynomial modules can be used to extract structural information like the dimension, the depth or the Castelnuovo‐Mumford regularity. In particular, we discuss the syzygy theory of Pommaret bases and its use for the construction of free resolutions.